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354243700 = 2252232947113
BaseRepresentation
bin10101000111010…
…101010001110100
3220200120110000001
4111013111101310
51211141244300
655052401044
711531010316
oct2507252164
9820513001
10354243700
11171a63598
129a776184
1358510975
14350937b6
152117616a
hex151d5474

354243700 has 144 divisors (see below), whose sum is σ = 854945280. Its totient is φ = 126945280.

The previous prime is 354243691. The next prime is 354243707. The reversal of 354243700 is 7342453.

354243700 = 2163 + 2173 + ... + 2443.

It is a super-3 number, since 3×3542437003 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354243707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3134844 + ... + 3134956.

It is an arithmetic number, because the mean of its divisors is an integer number (5937120).

Almost surely, 2354243700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354243700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427472640).

354243700 is an abundant number, since it is smaller than the sum of its proper divisors (500701580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

354243700 is a wasteful number, since it uses less digits than its factorization.

354243700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

The square root of 354243700 is about 18821.3628624497. The cubic root of 354243700 is about 707.5666882661.

The spelling of 354243700 in words is "three hundred fifty-four million, two hundred forty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 20 23 25 29 46 47 50 58 92 94 100 113 115 116 145 188 226 230 235 290 452 460 470 565 575 580 667 725 940 1081 1130 1150 1175 1334 1363 1450 2162 2260 2300 2350 2599 2668 2726 2825 2900 3277 3335 4324 4700 5198 5311 5405 5452 5650 6554 6670 6815 10396 10622 10810 11300 12995 13108 13340 13630 16385 16675 21244 21620 25990 26555 27025 27260 31349 32770 33350 34075 51980 53110 54050 62698 64975 65540 66700 68150 75371 81925 106220 108100 122153 125396 129950 132775 136300 150742 154019 156745 163850 244306 259900 265550 301484 308038 313490 327700 376855 488612 531100 610765 616076 626980 753710 770095 783725 1221530 1507420 1540190 1567450 1884275 2443060 3053825 3080380 3134900 3542437 3768550 3850475 6107650 7084874 7537100 7700950 12215300 14169748 15401900 17712185 35424370 70848740 88560925 177121850 354243700